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Invariant subspace of composition operators on Hardy space
Tianyu Bai, Junming Liu
We consider the invariant subspace of composition operators on Hardy space where the composition operators corresponding to a function that is a holomorphic self-map of $…
Complex symmetric weighted Composition Differentiation Operators
Junming Liu, Saminathan Ponnusamy, Huayou Xie
In this note, we completely characterize complex symmetric weighted composition differentiation operator on the Hardy space with respect to the conjugation operator …
Order boundedness of weighted composition operators on weighted Dirichlet spaces and derivative Hardy spaces
Qingze Lin, Junming Liu, Yutian Wu
In this paper, we completely characterize the order boundedness of weighted composition operators between different weighted Dirichlet spaces and different derivative Hardy spaces.
Volterra type operators on weighted Dirichlet spaces
Qingze Lin
The Carleson measures for weighted Dirichlet spaces had been characterized by Girela and Peláez, who also characterized the boundedness of Volterra type operators between weighted…
Strict singularity of weighted composition operators on derivative Hardy spaces
Qingze Lin, Junming Liu, Yutian Wu
We prove that the weighted composition operator fixes an isomorphic copy of if the operator is not compact on the derivative Hardy space . In part…
Strict singularity of Volterra type operators on Hardy spaces
Qingze Lin, Junming Liu, Yutian Wu
In this paper, we first characterize the boundedness and compactness of Volterra type operator defined on Hardy spaces $H^p, \…